The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  2  4  4  1  1
 0 12  0  0  0  0  0  0  0  4  4  8  4 12  8  8 12  0
 0  0 12  0  0  0  4 12  4  4  4  0  8 12 12  4  4  0
 0  0  0 12  0  4  4 12  0  0  8 12  0 12  0  4  4  0
 0  0  0  0 12  4  0 12  4  0  8  4  4  0 12 12  0  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  0

generates a code of length 18 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+72x^10+62x^11+231x^12+288x^13+547x^14+1076x^15+2693x^16+6760x^17+9284x^18+6760x^19+2722x^20+1104x^21+530x^22+284x^23+234x^24+40x^25+60x^26+10x^27+7x^28+3x^30

The gray image is a code over GF(2) with n=144, k=15 and d=40.
This code was found by Heurico 1.16 in 1.98 seconds.